An introduction to the application of the finite element method to the solution of boundary and initial-value problems posed in terms of partial differential equations. Contains worked examples throughout and each chapter has a set of exercises with detailed solutions.
An introduction to the application of the finite element method to the solution of boundary and initial-value problems posed in terms of partial differential equations. Contains worked examples throughout and each chapter has a set of exercises with detailed solutions.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Alan Davies is Professor of Mathematics at the University of Hertfordshire where his teaching and research is in numerical applied mathematics. He was the Head of the School of Physics, Astronomy and Mathematics until he retired in 2006 since when he has been able to concentrate on the communication of mathematics and physics through the department's outreach programme.
Inhaltsangabe
* 1: Historical introduction * 2: Weighted residual and variational methods * 3: The finite element method for elliptical problems * 4: Higher-order elements: the isoparametric concept * 5: Further topics in the finite element method * 6: Convergence of the finite element method * 7: The boundary element method * 8: Computational aspects * 9: References * Appendices * A: Partial differential equation models in the physical sciences * B: Some integral theorems of the vector calculus * C: A formula for integrating products of area coordinates over a triangle * D: Numerical integration formulae * E: Stehfest's formula and weights for numerical Laplace transform inversion
* 1: Historical introduction * 2: Weighted residual and variational methods * 3: The finite element method for elliptical problems * 4: Higher-order elements: the isoparametric concept * 5: Further topics in the finite element method * 6: Convergence of the finite element method * 7: The boundary element method * 8: Computational aspects * 9: References * Appendices * A: Partial differential equation models in the physical sciences * B: Some integral theorems of the vector calculus * C: A formula for integrating products of area coordinates over a triangle * D: Numerical integration formulae * E: Stehfest's formula and weights for numerical Laplace transform inversion
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